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Finding the Fourth Proportional to 209,866.52, 289,607.34 and 114,371.16

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Solution

The fourth proportional to 209,866.52, 289,607.34 and 114,371.16 is: 157,827.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,866.52 : 289,607.34 = 114,371.16 : x
  2. Step 2: Convert to fraction form
    209,866.52/289,607.34 = 114,371.16/x
  3. Step 3: Cross multiply
    209,866.52x = 289,607.34 × 114,371.16
  4. Step 4: Simplify right side
    209,866.52x = 33,122,727,420.31
  5. Step 5: Solve for x
    x = 33,122,727,420.31/209,866.52
  6. Step 6: Final answer
    x = 157,827.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.